758961 has 18 divisors (see below), whose sum is σ = 1276002. Its totient is φ = 433440.

The previous prime is 758957. The next prime is 758963. The reversal of 758961 is 169857.

758961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 53361 = 840^2 + 231^2 .

It is not a de Polignac number, because 758961 - 2² = 758957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (758963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 420 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (70889).

2⁷⁵⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

758961 is a deficient number, since it is larger than the sum of its proper divisors (517041).

758961 is a wasteful number, since it uses less digits than its factorization.

758961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1731 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 758961 is about 871.1836775330. The cubic root of 758961 is about 91.2164472876.

The spelling of 758961 in words is "seven hundred fifty-eight thousand, nine hundred sixty-one".